BUTEX admission questions 2014-15 (Bangladesh University of Textiles)

Physics 1st Paper

1. 1.টর্কের মাত্রা ও বলের মাত্রার অনুপাত কত?

   1. A.$MLT^{-2}$
   2. B.L
   3. C.$ML^2T^{-2}$
   4. D.$ML^{-1}$

   Tap an answer — the first 3 questions need no account

2. 2.M ভরের একটি বস্তুর গতিশক্তি E. এর ভরবেগ হলো-

   1. A.$\sqrt{2ME}$
   2. B.$2ME$
   3. C.$\sqrt{\frac{ME}{2}}$
   4. D.$\frac{2E}{M}$

Higher Math 1st Paper

1. 3.Name of the matrix $\begin{bmatrix} 4 & 6 \\ 6 & 4 \end{bmatrix}$ is-

   1. A.Symmetric
   2. B.Transpose
   3. C.Singular
   4. D.Scalar

2. 4.Which one of the following straight lines does not have the same slope as the line $2x + y = 3$?

   1. A.$2x + y = 5$
   2. B.$x + 2y = 9$
   3. C.$x = \frac{-y}{2} + 3$
   4. D.$x = \frac{-y}{2} - 3$
   See the answer

3. 5.What is indicated by the equation $p^2x^2 + 2px + qy + p^2y^2 = 0$?

   1. A.A pair of straight lines
   2. B.Circle
   3. C.Parabola
   4. D.Ellipse
   See the answer

4. 6.Which one of the following is the equation of common chord of two circles $x^2 + y^2 + 2x + 3y + 11 = 0$ and $x^2 + y^2 + 4x + 3y + 12 = 0$?

   1. A.$x = -\frac{1}{2}$
   2. B.$2x + y = 0$
   3. C.$y = x$
   4. D.$x = -2y$
   See the answer

5. 7.What is the value of the limit $\lim_{x \to \frac{\pi}{2}} (\frac{\pi}{2}-x) \tan x$?

   1. A.1
   2. B.$\frac{1}{2}$
   3. C.$\frac{\pi}{2}$
   4. D.$\pi$
   See the answer

6. 8.If $s = 4t - t^2 + 10$, then what will be the acceleration after 4 sec?

   1. A.$-8\text{m/sec}^2$
   2. B.$8\text{m/sec}^2$
   3. C.$2\text{m/sec}^2$
   4. D.$-2\text{m/sec}^2$
   See the answer

7. 9.Minimum value of $x^2 - 2x + 5$ is-

   1. A.1
   2. B.2
   3. C.3
   4. D.4
   See the answer

8. 10.The value of $\int_{1}^{e} \ln x \ dx$ is-

   1. A.1
   2. B.e
   3. C.e - 1
   4. D.1 - e
   See the answer

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